Answer:
About 3 years Speedy Jet printers be guaranteed.
Step-by-step explanation:
Given : Quality control studies for Speedy Jet Computer Printers show the lifetime of the printer follows a normal distribution with
mean
and standard deviation ![\sigma = 0.78](https://tex.z-dn.net/?f=%5Csigma%20%3D%200.78)
If the company wishes to replace no more than 10% of the printers.
To find : How long should Speedy Jet printers be guaranteed ?
Solution :
Using Z- table,
Z value corresponding to 10% or 0.10 = -1.28.
Applying z-score formula,
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
The value of x is given by,
![x=(z\times \sigma)+\mu](https://tex.z-dn.net/?f=x%3D%28z%5Ctimes%20%5Csigma%29%2B%5Cmu)
Substitute the values,
![x=(-1.28\times 0.78)+4](https://tex.z-dn.net/?f=x%3D%28-1.28%5Ctimes%200.78%29%2B4)
![x=-0.9984+4](https://tex.z-dn.net/?f=x%3D-0.9984%2B4)
![x=3.0016](https://tex.z-dn.net/?f=x%3D3.0016)
So, approx 3 years.
Therefore, About 3 years Speedy Jet printers be guaranteed.
Procedure:
1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)
Solution
1) the number of teams of four members that can be formed are:
10*9*8*7 / (4*3*2*1) = 210
2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls
Ways of chosing 2 boys = 6*5/2 = 15
Ways of chosing 2 girls = 4*3/2 = 6
Number of different teams with 2 boys and 2 girls = 15 * 6 = 90
3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:
90/210 = 3/7
Answer:
1
Step-by-step explanation:
9-8=1
Hope that this is helpful.
Have a nice day.